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blender-portable-repo/extensions/blender_org/bool_tool/functions/math.py
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2026-03-17 14:58:51 -06:00

238 lines
8.5 KiB
Python

import bpy
import math
import mathutils
magic_number = 1.41
#### ------------------------------ FUNCTIONS ------------------------------ ####
def draw_circle(self, subdivision, rotation):
"""Returns the coordinates & indices of a 2d circle in screen-space"""
def create_2d_circle(self, step, rotation):
"""Create the vertices of a 2d circle at (0, 0)"""
modifier = 2 if self.shape == 'CIRCLE' else magic_number
if self.origin == 'CENTER':
modifier /= 2
verts = []
for i in range(step):
angle = (360 / step) * i + rotation
verts.append(math.cos(math.radians(angle)) * ((self.mouse_path[1][0] - self.mouse_path[0][0]) / modifier))
verts.append(math.sin(math.radians(angle)) * ((self.mouse_path[1][1] - self.mouse_path[0][1]) / modifier))
verts.append(0.0)
verts.append(math.cos(math.radians(0.0 + rotation)) * ((self.mouse_path[1][0] - self.mouse_path[0][0]) / modifier))
verts.append(math.sin(math.radians(0.0 + rotation)) * ((self.mouse_path[1][1] - self.mouse_path[0][1]) / modifier))
verts.append(0.0)
return verts
tris_verts = []
indices = []
verts = create_2d_circle(self, int(subdivision), rotation)
rotation_matrix = mathutils.Matrix.Rotation(self.rotation, 4, 'Z')
fixed_point = mathutils.Vector((self.mouse_path[0][0], self.mouse_path[0][1], 0.0))
current_mouse_position = mathutils.Vector((self.mouse_path[1][0], self.mouse_path[1][1], 0.0))
shape_center = fixed_point + (current_mouse_position - fixed_point) / 2
for idx in range((len(verts) // 3) - 1):
x = verts[idx * 3]
y = verts[idx * 3 + 1]
z = verts[idx * 3 + 2]
vert = mathutils.Vector((x, y, z))
vert = rotation_matrix @ vert
vert = vert + fixed_point if self.origin == 'CENTER' else shape_center - vert
vert += mathutils.Vector((self.position_offset_x, self.position_offset_y, 0.0))
tris_verts.append(vert)
i1 = idx + 1
i2 = idx + 2 if idx + 2 <= ((360 / int(subdivision)) * (idx + 1) + rotation) else 1
indices.append((0, i1, i2))
# BEVEL
if self.use_bevel and self.bevel_radius > 0.01:
tris_verts, indices = bevel_verts(self, tris_verts, (self.bevel_radius * 50), self.bevel_segments)
# BOUNDING_BOX
min_x, min_y, max_x, max_y = get_bounding_box(tris_verts)
bounds = [
mathutils.Vector((min_x, min_y, 0)), # bottom-left
mathutils.Vector((max_x, min_y, 0)), # bottom-right
mathutils.Vector((max_x, max_y, 0)), # top-right
mathutils.Vector((min_x, max_y, 0)), # top-left
mathutils.Vector((min_x, min_y, 0)) # closing_the_loop_manually
]
return tris_verts, indices, bounds
def draw_polygon(self):
"""Returns polygonal 2d shape in screen-space where each cursor click is taken as a new vertice"""
indices = []
coords = []
for idx, vals in enumerate(self.mouse_path):
vert = mathutils.Vector([vals[0], vals[1], 0.0])
vert += mathutils.Vector([self.position_offset_x, self.position_offset_y, 0.0])
coords.append(vert)
i1 = idx + 1
i2 = idx + 2 if idx <= len(self.mouse_path) else 1
indices.append((0, i1, i2))
# circle_around_first_point
radius = self.distance_from_first
segments = 4
click_point = [coords[0]]
for i in range(segments + 1):
angle = i * (2 * math.pi / segments)
x = coords[0][0] + radius * math.cos(angle)
y = coords[0][1] + radius * math.sin(angle)
z = coords[0][2]
vector = mathutils.Vector((x, y, z))
click_point.append(vector)
# ARRAY (remove_duplicate_verts)
"""NOTE: This is needed to remove extra vertices for duplicates which are not removed because `dict.fromkeys()`..."""
"""NOTE: can't be called on `coords` list, because it contains unfrozen Vectors."""
unique_verts = []
for vert in coords:
if vert not in unique_verts:
unique_verts.append(vert)
array_coords = unique_verts if self.closed else unique_verts[:-1]
return coords, indices, click_point, array_coords
def draw_array(self, verts):
"""Duplicates given list of vertices in rows and columns (on screen-space x and y axis)"""
"""Returns two dicts of lists of vertices for rows and columns separately"""
# get_bounding_box_of_the_shape
"""NOTE: Calculated separately because verts needed for array differs from verts needed for shape for polyline"""
min_x, min_y, max_x, max_y = get_bounding_box(verts)
rows = {}
if self.rows > 1:
# Offset
offset = mathutils.Vector((((max_x - min_x) + (self.rows_gap)), 0.0, 0.0))
if self.rows_direction == 'LEFT':
offset.x = -offset.x
for i in range(self.rows - 1):
accumulated_offset = offset * (i + 1)
rows[i] = [vert.copy() + accumulated_offset for vert in verts]
columns = {}
if self.columns > 1:
# Offset
offset = mathutils.Vector((0.0, -((max_y - min_y) + (self.columns_gap)), 0.0))
if self.columns_direction == 'UP':
offset.y = -offset.y
for i in range(self.columns - 1):
accumulated_offset = offset * (i + 1)
columns[i] = [vert.copy() + accumulated_offset for vert in verts]
for row_idx, row in rows.items():
columns[(i, row_idx)] = [vert.copy() + accumulated_offset for vert in row]
return rows, columns
def bevel_verts(self, verts, radius, segments):
"""Takes in list of verts(Vectors) and bevels them, Returns a new list with new vertices"""
def get_rounded_corner(self, angular_point, p1, p2, radius, segments):
# get_bounding_box_of_the_shape
min_x, min_y, max_x, max_y = get_bounding_box(verts)
width = max_x - min_x
height = max_y - min_y
# clamp_radius_to_reduce_clipping
max_radius = min(width / 2.5, height / 2.5)
clamped_radius = min(radius, max_radius)
if radius > clamped_radius:
radius = clamped_radius
# calculate_vectors (NOTE: Why it only works when reversed like this is unknown to me)
if self.bevel_profile == 'CONVEX':
vector1 = -(p1 - angular_point)
vector2 = -(p2 - angular_point)
elif self.bevel_profile == 'CONCAVE':
vector1 = p2 - angular_point
vector2 = p1 - angular_point
# compute_lengths_of_vectors
length1 = vector1.length
length2 = vector2.length
if length1 == 0 or length2 == 0:
return [angular_point] * segments
vector1.normalize()
vector2.normalize()
# calculate_the_angle_between_the_vectors
dot_product = vector1.dot(vector2)
angle = math.acos(max(-1.0, min(1.0, dot_product)))
arc_length = radius * angle
segment_length = arc_length / (segments - 1)
bisector = (vector1 + vector2).normalized()
# generate_points_along_the_arc
rounded_corners = []
for i in range(segments):
fraction = i / (segments - 1)
theta = angle * fraction
interpolated_vector = (vector1 * math.sin(theta) + vector2 * math.cos(theta)).normalized() * radius
if self.bevel_profile == 'CONVEX':
point_on_arc = angular_point + interpolated_vector - bisector * (clamped_radius * magic_number)
elif self.bevel_profile == 'CONCAVE':
point_on_arc = angular_point + interpolated_vector - bisector / (clamped_radius)
rounded_corners.append(point_on_arc)
return rounded_corners
rounded_verts = []
indices = []
num_verts = len(verts)
for idx in range(num_verts):
angular_point = verts[idx]
prev_idx = (idx - 1) % num_verts
next_idx = (idx + 1) % num_verts
p1 = verts[prev_idx]
p2 = verts[next_idx]
corner_points = get_rounded_corner(self, angular_point, p1, p2, radius, segments)
rounded_verts.extend(corner_points)
for idx, vert in enumerate(reversed(rounded_verts)):
i1 = idx + 1
i2 = idx + 2 if idx + 2 <= len(rounded_verts) else 1
indices.append((0, i1, i2))
return rounded_verts, indices
def get_bounding_box(verts):
"""Calculates the bounding box coordinates from a list of vertices"""
min_x = min(v[0] for v in verts)
max_x = max(v[0] for v in verts)
min_y = min(v[1] for v in verts)
max_y = max(v[1] for v in verts)
return min_x, min_y, max_x, max_y